The following table gives the percentage distribution of total students and…
2020
The following table gives the percentage distribution of total students and girl students enrolled in five schools (A-E). The total number of students is 4500, while the total number of girl students is 2000. Based on the table, answer the question that follows.
School Name | % of Total Students Enrolled | % of Girl Students Enrolled |
|---|---|---|
A | 20% | 15% |
B | 30% | 35% |
C | 25% | 12% |
D | 15% | 25% |
E | 10% | 13% |
Question: The number of girls enrolled in schools B, C and D is what percentage (%) of the total number of students in all schools?
- A.
30%
- B.
31%
- C.
32%
- D.
33%
Show answer & explanation
Correct answer: C
CONCEPT: In a percentage data table, first identify the base to which each percentage belongs. A percentage of girl students must be converted using the total girls base, while the final requested percentage must use the total students base.
The method is: required count = given percentage of its own base; final percentage = required count divided by the comparison base, multiplied by 100.
APPLICATION:
The percentages of girl students for schools B, C and D are 35%, 12%, and 25% respectively.
Their combined share of girl students is 35% + 12% + 25% = 72%.
The total number of girl students is 2000, so the required count is 72% of 2000 = 1440.
The total number of students in all schools is 4500, so the required percentage is (1440 / 4500) × 100 = 32%.
CROSS-CHECK: 32% of 4500 is 1440, which matches the count obtained from the girls base.
Result: 32%.